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Journal articles on the topic 'Maxmin'

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Published: 7 July 2024

Last updated: 7 July 2024

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1

Kokol Bukovšek, Damjana, Tomaž Košir, Blaž Mojškerc, and Matjaž Omladič. "Asymmetric linkages: Maxmin vs. reflected maxmin copulas." Fuzzy Sets and Systems 393 (August 2020): 75–95. http://dx.doi.org/10.1016/j.fss.2019.07.004.

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2

Tang, Rui, and Mu Zhang. "Maxmin implementation." Journal of Economic Theory 194 (June 2021): 105250. http://dx.doi.org/10.1016/j.jet.2021.105250.

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3

Geanakoplos, John D. "Afriat from MaxMin." Economic Theory 54, no. 3 (November 2013): 443–48. http://dx.doi.org/10.1007/s00199-013-0783-x.

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4

Maccheroni, Fabio. "Maxmin under risk." Economic Theory 19, no. 4 (June 1, 2002): 823–31. http://dx.doi.org/10.1007/s001990100167.

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5

von Stengel, Bernhard, and Daphne Koller. "Team-Maxmin Equilibria." Games and Economic Behavior 21, no. 1-2 (October 1997): 309–21. http://dx.doi.org/10.1006/game.1997.0527.

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6

Guo, Huiyi, and Nicholas C. Yannelis. "Full Implementation under Ambiguity." American Economic Journal: Microeconomics 13, no. 1 (February 1, 2021): 148–78. http://dx.doi.org/10.1257/mic.20180184.

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Abstract:

This paper introduces the maxmin expected utility framework into the problem of fully implementing a social choice set as ambiguous equilibria. Our model incorporates the Bayesian framework and the Wald-type maxmin preferences as special cases and provides insights beyond the Bayesian implementation literature. We establish necessary and almost sufficient conditions for a social choice set to be fully implementable. Under the Wald-type maxmin preferences, we provide easy-to-check sufficient conditions for implementation. As applications, we implement the set of ambiguous Pareto-efficient and individually rational social choice functions, the maxmin core, the maxmin weak core, and the maxmin value. (JEL D71, D81, D82)

7

Amin, Raid W., and Kuiyuan Li. "The MaxMin EWMA tolerance limits." International Journal of Quality & Reliability Management 17, no. 1 (February 2000): 27–41. http://dx.doi.org/10.1108/02656710010283351.

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8

Prisman, Eliezer Z. "Immunization as a maxmin strategy." Journal of Banking & Finance 10, no. 4 (December 1986): 491–509. http://dx.doi.org/10.1016/s0378-4266(86)80002-4.

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9

Shibaev, S. V. "Maxmin subject to marginal constraints." Cybernetics and Systems Analysis 30, no. 6 (November 1994): 875–84. http://dx.doi.org/10.1007/bf02366446.

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10

Alon, Shiri, and David Schmeidler. "Purely subjective Maxmin Expected Utility." Journal of Economic Theory 152 (July 2014): 382–412. http://dx.doi.org/10.1016/j.jet.2014.03.006.

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11

Rentsen, Enkhbat, and Enkhbayar Jamsranjav. "A note on maxmin problem." Optimization Letters 13, no. 3 (September 18, 2017): 475–83. http://dx.doi.org/10.1007/s11590-017-1199-5.

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12

Beissner, Patrick, Qian Lin, and Frank Riedel. "Dynamically consistent alpha‐maxmin expected utility." Mathematical Finance 30, no. 3 (November 17, 2019): 1073–102. http://dx.doi.org/10.1111/mafi.12232.

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13

Casadesus-Masanell, Ramon, Peter Klibanoff, and Emre Ozdenoren. "Maxmin expected utility through statewise combinations." Economics Letters 66, no. 1 (January 2000): 49–54. http://dx.doi.org/10.1016/s0165-1765(99)00190-1.

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14

Xizhao, Wang, and Ha Minghu. "Note on maxmin μ/E estimation." Fuzzy Sets and Systems 94, no. 1 (February 1998): 71–75. http://dx.doi.org/10.1016/s0165-0114(96)00245-x.

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15

Ghezzi, Luca Luigi. "A maxmin policy for bond management." European Journal of Operational Research 114, no. 2 (April 1999): 389–94. http://dx.doi.org/10.1016/s0377-2217(97)00449-9.

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16

Mitchell, Scott A. "Approximating the maxmin-angle covering triangulation." Computational Geometry 7, no. 1-2 (January 1997): 93–111. http://dx.doi.org/10.1016/0925-7721(95)00046-1.

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17

Amarante, Massimiliano, and Emel Filiz. "Ambiguous events and maxmin expected utility." Journal of Economic Theory 134, no. 1 (May 2007): 1–33. http://dx.doi.org/10.1016/j.jet.2005.12.009.

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18

Champarnaud, J. M., and J. E. Pin. "A maxmin problem on finite automata." Discrete Applied Mathematics 23, no. 1 (April 1989): 91–96. http://dx.doi.org/10.1016/0166-218x(89)90037-1.

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19

Chamberlain, Gary. "Econometric applications of maxmin expected utility." Journal of Applied Econometrics 15, no. 6 (November 2000): 625–44. http://dx.doi.org/10.1002/jae.583.

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20

Borie, Dino. "Maxmin expected utility in Savage's framework." Journal of Economic Theory 210 (June 2023): 105665. http://dx.doi.org/10.1016/j.jet.2023.105665.

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21

Brooks, Benjamin, and Songzi Du. "Optimal Auction Design With Common Values: An Informationally Robust Approach." Econometrica 89, no. 3 (2021): 1313–60. http://dx.doi.org/10.3982/ecta16297.

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Abstract:

A profit‐maximizing seller has a single unit of a good to sell. The bidders have a pure common value that is drawn from a distribution that is commonly known. The seller does not know the bidders' beliefs about the value and thinks that beliefs are designed adversarially by Nature to minimize profit. We construct a strong maxmin solution to this joint mechanism design and information design problem, consisting of a mechanism, an information structure, and an equilibrium, such that neither the seller nor Nature can move profit in their respective preferred directions, even if the deviator can select the new equilibrium. The mechanism and information structure solve a family of maxmin mechanism design and minmax information design problems, regardless of how an equilibrium is selected. The maxmin mechanism takes the form of a proportional auction: each bidder submits a one‐dimensional bid, the aggregate allocation and aggregate payment depend on the aggregate bid, and individual allocations and payments are proportional to bids. We report a number of additional properties of the maxmin mechanisms, including what happens as the number of bidders grows large and robustness with respect to the prior over the value.

22

Mirzoev, Tigran, and Tzvetalin S. Vassilev. "Quadratic Time Computable Instances of MaxMin and MinMax Area Triangulations of Convex Polygons." Serdica Journal of Computing 4, no. 3 (October 21, 2010): 335–48. http://dx.doi.org/10.55630/sjc.2010.4.335-348.

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We consider the problems of finding two optimal triangulations of a convex polygon: MaxMin area and MinMax area. These are the triangulations that maximize the area of the smallest area triangle in a triangulation, and respectively minimize the area of the largest area triangle in a triangulation, over all possible triangulations. The problem was originally solved by Klincsek by dynamic programming in cubic time [2]. Later, Keil and Vassilev devised an algorithm that runs in O(n^2 log n) time [1]. In this paper we describe new geometric findings on the structure of MaxMin and MinMax Area triangulations of convex polygons in two dimensions and their algorithmic implications. We improve the algorithm’s running time to quadratic for large classes of convex polygons. We also present experimental results on MaxMin area triangulation.

23

KELSEY, DAVID. "MAXMIN EXPECTED UTILITY AND WEIGHT OF EVIDENCE." Oxford Economic Papers 46, no. 3 (July 1994): 425–44. http://dx.doi.org/10.1093/oxfordjournals.oep.a042139.

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24

Vizing, V. G. "Multicriteria graph problems with the MAXMIN criterion." Journal of Applied and Industrial Mathematics 6, no. 2 (April 2012): 256–60. http://dx.doi.org/10.1134/s1990478912020159.

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25

Sadegh, Payman, Lars H. Hansen, Henrik Madsen, and Jan Holst. "Maxmin Input Design for Linear Dynamic Systems." IFAC Proceedings Volumes 30, no. 11 (July 1997): 1375–79. http://dx.doi.org/10.1016/s1474-6670(17)43034-5.

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26

Halpern, Joseph Y., and Samantha Leung. "Maxmin weighted expected utility: a simpler characterization." Theory and Decision 80, no. 4 (September 26, 2015): 581–610. http://dx.doi.org/10.1007/s11238-015-9516-x.

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27

Gilboa, Itzhak, and David Schmeidler. "Maxmin expected utility with non-unique prior." Journal of Mathematical Economics 18, no. 2 (January 1989): 141–53. http://dx.doi.org/10.1016/0304-4068(89)90018-9.

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28

Košir, Tomaž, and Matjaž Omladič. "Reflected maxmin copulas and modeling quadrant subindependence." Fuzzy Sets and Systems 378 (January 2020): 125–43. http://dx.doi.org/10.1016/j.fss.2019.01.023.

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29

Kamnitui, Noppadon, and Wolfgang Trutschnig. "On some properties of reflected maxmin copulas." Fuzzy Sets and Systems 393 (August 2020): 53–74. http://dx.doi.org/10.1016/j.fss.2019.07.007.

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30

Hougaard, Jens Leth, and Mich Tvede. "Nonconvex n -person bargaining: efficient maxmin solutions." Economic Theory 21, no. 1 (January 1, 2003): 81–95. http://dx.doi.org/10.1007/s00199-001-0246-7.

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31

Hinojosa, Miguel A., and Amparo M. Mármol. "Multi-commodity rationing problems with maxmin payoffs." Mathematical Methods of Operations Research 79, no. 3 (April 4, 2014): 353–70. http://dx.doi.org/10.1007/s00186-014-0466-9.

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32

Abdou, Joseph. "Maxmin and minmax for coalitional game forms." Games and Economic Behavior 3, no. 3 (August 1991): 267–77. http://dx.doi.org/10.1016/0899-8256(91)90028-d.

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33

Moustakides, George V., and Vassilios S. Verykios. "A MaxMin approach for hiding frequent itemsets." Data & Knowledge Engineering 65, no. 1 (April 2008): 75–89. http://dx.doi.org/10.1016/j.datak.2007.06.012.

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34

Wang, Li Hong, Fu Min Liu, and Qing Jie Zheng. "Outage Probability of CSI-Assisted Opportunistic Amplify-and-Forward Relaying with MRC Reception." Applied Mechanics and Materials 182-183 (June 2012): 1689–93. http://dx.doi.org/10.4028/www.scientific.net/amm.182-183.1689.

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Abstract:

The outage probability of the channel state information assisted opportunistic amplify-and-forward relaying system with a maximal ratio combining receiver at the destination is investigated, and the exact outage probability expression is presented. The asymptotic equivalence of two different opportunistic relay selection criterions (maxSNR and maxmin) is proved too. Monte Carlo simulation results show that the derived expression is in excellent agreement with the outage probability of systems based on the maxSNR criterion, and also provides a good approximation to the outage probability of systems based on the maxmin criterion.

35

Kawanabe, Motoaki, Wojciech Samek, Klaus-Robert Müller, and Carmen Vidaurre. "Robust Common Spatial Filters with a Maxmin Approach." Neural Computation 26, no. 2 (February 2014): 349–76. http://dx.doi.org/10.1162/neco_a_00544.

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Electroencephalographic signals are known to be nonstationary and easily affected by artifacts; therefore, their analysis requires methods that can deal with noise. In this work, we present a way to robustify the popular common spatial patterns (CSP) algorithm under a maxmin approach. In contrast to standard CSP that maximizes the variance ratio between two conditions based on a single estimate of the class covariance matrices, we propose to robustly compute spatial filters by maximizing the minimum variance ratio within a prefixed set of covariance matrices called the tolerance set. We show that this kind of maxmin optimization makes CSP robust to outliers and reduces its tendency to overfit. We also present a data-driven approach to construct a tolerance set that captures the variability of the covariance matrices over time and shows its ability to reduce the nonstationarity of the extracted features and significantly improve classification accuracy. We test the spatial filters derived with this approach and compare them to standard CSP and a state-of-the-art method on a real-world brain-computer interface (BCI) data set in which we expect substantial fluctuations caused by environmental differences. Finally we investigate the advantages and limitations of the maxmin approach with simulations.

36

Baillon, AurÉlien, Olivier L'Haridon, and Laetitia Placido. "Ambiguity Models and the Machina Paradoxes." American Economic Review 101, no. 4 (June 1, 2011): 1547–60. http://dx.doi.org/10.1257/aer.101.4.1547.

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Machina (2009) introduced two examples that falsify Choquet expected utility, presently one of the most popular models of ambiguity. This article shows that Machina's examples falsify not only the model mentioned, but also four other popular models for ambiguity of the literature, namely maxmin expected utility, variational preferences, α-maxmin, and the smooth model of ambiguity aversion. Thus, Machina's examples pose a challenge to most of the present field of ambiguity. Finally, the paper discusses how an alternative representation of ambiguity-averse preferences works to accommodate the Machina paradoxes and what drives the results. (JEL D81)

37

Fernandez, F., J. Puerto, and A. M. Rodriguez-Chia. "A Maxmin Location Problem with Nonconvex Feasible Region." Journal of the Operational Research Society 48, no. 5 (May 1997): 479. http://dx.doi.org/10.2307/3010506.

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38

Tassiulas, L., and S. Sarkar. "Maxmin fair scheduling in wireless ad hoc networks." IEEE Journal on Selected Areas in Communications 23, no. 1 (January 2005): 163–73. http://dx.doi.org/10.1109/jsac.2004.837365.

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39

Haines, Sheena, Jason Loeppky, Paul Tseng, and Xianfu Wang. "Convex Relaxations of the Weighted Maxmin Dispersion Problem." SIAM Journal on Optimization 23, no. 4 (January 2013): 2264–94. http://dx.doi.org/10.1137/120888880.

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40

Khan, Atlas, Yan-Peng Qu, and Zheng-Xue Li. "Convergence Analysis of a New MaxMin-SOMO Algorithm." International Journal of Automation and Computing 16, no. 4 (February 21, 2017): 534–42. http://dx.doi.org/10.1007/s11633-016-0996-0.

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41

Qu, Xiangyu. "Maxmin expected utility with additivity on unambiguous events." Journal of Mathematical Economics 49, no. 3 (May 2013): 245–49. http://dx.doi.org/10.1016/j.jmateco.2013.02.004.

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42

Amin, Raid, Kuiyuan Li, and Oliver Bengel. "Tolerance Limits Based on the Multivariate MaxMin Chart." Communications in Statistics - Simulation and Computation 37, no. 5 (April 14, 2008): 1020–37. http://dx.doi.org/10.1080/03610910801943628.

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43

Fernandez, F., J. Puerto, and A. M. Rodriguez–chia. "A maxmin location problem with nonconvex feasible region." Journal of the Operational Research Society 48, no. 5 (May 1997): 479–89. http://dx.doi.org/10.1057/palgrave.jors.2600382.

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44

Li, Bin, Peng Luo, and Dewen Xiong. "Equilibrium Strategies for Alpha-Maxmin Expected Utility Maximization." SIAM Journal on Financial Mathematics 10, no. 2 (January 2019): 394–429. http://dx.doi.org/10.1137/18m1178542.

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45

Fernandez, F., J. Puerto, and A. M. Rodriguez‐Chia. "A maxmin location problem with nonconvex feasible region." Journal of the Operational Research Society 48, no. 5 (1997): 479–89. http://dx.doi.org/10.1038/sj.jors.2600382.

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46

Cho, In-Koo, and Akihiko Matsui. "A Dynamic Foundation of the Rawlsian Maxmin Criterion." Dynamic Games and Applications 2, no. 1 (August 25, 2011): 51–70. http://dx.doi.org/10.1007/s13235-011-0026-3.

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47

Song, Yangwei. "Efficient implementation with interdependent valuations and maxmin agents." Journal of Economic Theory 176 (July 2018): 693–726. http://dx.doi.org/10.1016/j.jet.2018.05.007.

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48

d’Albis, Hippolyte, and Emmanuel Thibault. "Optimal annuitization, uncertain survival probabilities, and maxmin preferences." Economics Letters 115, no. 2 (May 2012): 296–99. http://dx.doi.org/10.1016/j.econlet.2011.12.045.

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49

Long, Yan. "Maxmin mechanism in a simple common value auction." Economics Letters 123, no. 3 (June 2014): 356–60. http://dx.doi.org/10.1016/j.econlet.2014.03.019.

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50

Шамонин, Валерий Геннадьевич, Станислав Анатольевич Зуев, Петр Алексеевич Леончук, and Светлана Юрьевна Хатунцева. "ON DESIGN OF EVACUATION EXITS IN CORRIDOR BUILDINGS OF PIECEWISE RECTANGULAR TYPE." Актуальные вопросы пожарной безопасности, no. 4(14) (December 12, 2022): 6–12. http://dx.doi.org/10.37657/vniipo.avpb.2022.19.29.001.

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Abstract:

При проектировании зданий коридорного типа возникает вопрос об оптимальном размещении эвакуационных выходов вдоль одной или обеих сторон длинного коридора. В предыдущей статье [1] был рассмотрен вопрос о равномерном распределении выходов, как для широких, так и для узких коридоров, и был представлен соответствующий критерий. Настоящая статья является продолжением работы [1]. Рассматривается оптимальное устройство ЭВ по обеим сторонам коридора кусочно-прямоугольного типа в жилых и административных зданиях (буквы П) в случае, если такое устройство не предусмотрено в проекте. Требование максимальной удаленности ЭВ друг от друга минимизирует смешение людских потоков при пожаре. Сформулирована неклассическая задача максимина (maxmin), для решения которой предложен численный метод прямого поиска - МЛВ. По разработанной программе на языке ТурбоПаскаль-7 проведены расчеты. When designing corridor-type buildings there is a question about the optimal placement of evacuation exits along one or both sides of a long corridor. The previous paper [1] considered the issue of uniform distribution of exits for both wide and narrow corridors, and there was presented the corresponding criterion. The present paper is a continuation of the work [1]. It considers the optimal arrangement of EEs on both sides of a piecewise rectangular corridor in residential and office buildings (letters P) if such device is not provided in the project. In this case, the requirement of maximum distance of EEs from each other minimizes the mixing of human flows during a fire. The nonclassical Maximin problem (maxmin) is formulated, for the solution of which there is proposed a numerical method of direct search - MLV. Calculations were carried out according to the developed program in the TurboPascal-7 languag.